The field theory two-body problem in acoustics

Details The field theory two-body problem in acoustics The field theory two-body problem in acoustics

May 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008gregr..40.1087c&link_type=abstract

General Relativity and Gravitation, Volume 40, Issue 5, pp.1087-1107

Physics

Field Theory, Runaway Solutions, Radiation Reaction, Acoustics

Scientific paper

We address the problem of determining effective equations of motion for sources in field theories, where finite propagation speeds lead to radiation reaction and runaway solutions. Acoustics is used to illustrate a solution of this problem: The effective equation of motion is obtained by reduction to an inertial manifold. This equation can be approximated to any desired accuracy by expansion (and truncation) in powers of the reciprocal of the wave propagation speed and reduction to a slow manifold of a singular perturbation problem.

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